Geodesic
The zeros of a certain family of trinomials
Glasgow mathematical journal, Tome 34 (1992) no. 1, pp. 55-74

Voir la notice de l'article provenant de la source Cambridge University Press

Many of the classical inequalities of analysis can be written in the form P(x) ≥ 0 for x ∈ I or P(x) > 0 for x ∈ I′, where P(x) is a polynomial and I′ ⊂ I are certain intervals on the real line. This gives rise to the question of where the zeros of P(x) are located. For example, if f is a polynomial with real zeros, then an inequality of Laguerre [8, p. 171 f.] asserts thatfor all x. A detailed study of the zeros of this particular P(x) has been made [5]. 
Dilcher, Karl; Nulton, James D.; Stolarsky, Kenneth B. The zeros of a certain family of trinomials. Glasgow mathematical journal, Tome 34 (1992) no. 1, pp. 55-74. doi: 10.1017/S0017089500008545
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